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Solve 12x + 7 = 175

The solution of 12x + 7 = 175 is x = 14.

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The lines y = 12x + 7 and y = 175 meet at x = 148101214161820100120140160180200220240260x = 14y = 12x + 7y = 175
The lines y = 12x + 7 and y = 175 meet at x = 14. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    12x+7=17512x + 7 = 175
  2. 2

    Subtract 7 from both sides:

    12x+7−7=175−7 ⇒ 12x=16812x + 7 - 7 = 175 - 7 \ \Rightarrow\ 12x = 168
  3. 3

    Divide both sides by 12:

    12x12=16812 ⇒ x=14\frac{12x}{12} = \frac{168}{12} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    12⋅14+7=168+7=175✓12\cdot14 + 7 = 168 + 7 = 175 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 7 = 175\ \Rightarrow\ x = 14 \]
\[ 12x + 7 = 175 \]
\[ 12x + 7 - 7 = 175 - 7 \ \Rightarrow\ 12x = 168 \]
\[ \frac{12x}{12} = \frac{168}{12} \ \Rightarrow\ x = 14 \]
\[ 12\cdot14 + 7 = 168 + 7 = 175 \checkmark \]

Trying values of x in 12x + 7 = 175

x12x + 7Equals 175?
12151no
13163no
14175yes
15187no
16199no

Questions

What is x in 12x + 7 = 175?

The solution of 12x + 7 = 175 is x = 14.

How do you solve 12x + 7 = 175?

Subtract 7 from both sides to get 12x = 168, then divide both sides by 12 to get x = 14.

How do I check the answer?

Replace x by 14: 12(14) + 7 = 175, which is 175.

Similar equations

    Solve 12x + 7 = 175: x = 14 (steps and check) | WordGPT